How to Find GCF of 5029/993, 3527/7762?

GCF of 5029/993, 3527/7762

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 5029/993, 3527/7762 i.e 1/7707666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5029/993, 3527/7762.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5029/993,3527/7762?

Given fractions are 5029/993,3527/7762

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5029/993,3527/7762, numerators are 5029,3527

Denominators are 993,7762

The GCF of 5029,3527 is 1 .

LCM of 993,7762 is 7707666.

The greatest common factor of 5029/993,3527/7762 = [GCF of 5029,3527]/[LCM of 993,7762]= 1/7707666

Therefore, the GCF of 5029/993,3527/7762 is 1/7707666.

Greatest Common Factor of 5029,3527

To find the highest common factor of 5029,3527, we have to find the factors of both numbers and list the highest common factor.

The factors of 5029 are 1, 47, 107, 5029

The factors of 3527 are 1, 3527

The HCF of 5029,3527 is 1.

Lets's calculate GCF of 5029,3527

Greatest Common Factor (GCF) of 5029,3527 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5029,3527 By Matching Biggest Common Factor Method

Now, list down the factors of 5029

1,47,107,5029

Now, list down the factors of 3527

1,3527

Greatest Common Factor

We found the factors 5029,3527 . The biggest common factor number is the GCF number.
So the greatest common factor 5029,3527 is 1.

Lets's calculate LCM of 993,7762

Lowest Common Multiple of 993,7762 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7707666

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7707666

Therefore, the GCF of Fractions 5029/993,3527/7762 is 1/7707666

Least Common Multiple of 993,7762 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 993,7762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,7762) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(993,7762) x common factors =1 x 1 = 1

LCM(993,7762) = ( 993 × 7762 ) / 1

LCM(993,7762) = 7707666 / 1

LCM(993,7762) = 7707666

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FAQs on GCF of Fractions of 5029/993, 3527/7762

1. What is the HCF of 5029,3527?

The HCF of 5029,3527 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 5029/993, 3527/7762?

Answer: GCF of Numerators as per given numbers 5029/993, 3527/7762 is

GCF of Numerators i.e. for 5029,3527 is 1

LCM of denominators i.e. for 993,7762 is 7707666.

Thus, GCF of Fractions is 1/7707666.Finally, GCF of Fractions for 5029/993, 3527/7762 is 1/7707666.